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arXiv · 1309.0381

The first positive rank and crank moments for overpartitions

George Andrews·Song Heng Chan·Byungchan Kim·Robert Osburn
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Abstract

In 2003, Atkin and Garvan initiated the study of rank and crank moments for ordinary partitions. These moments satisfy a strict inequality. We prove that a strict inequality also holds for the first rank and crank moments of overpartitions and consider a new combinatorial interpretation in this setting.

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George Andrews, Song Heng Chan, Byungchan Kim, Robert Osburn. 2013-09-02. The first positive rank and crank moments for overpartitions. https://doi.org/10.1007/s00026-016-0306-0

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